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math.AP2026
Generic boundary behavior of Dirichlet eigenfunctions
Alec Payne, Zihui Zhao
We extend Uhlenbeck's classical results on the generic properties of Laplacian eigenfunctions. In particular, we find a residual set of domains in , , su…
gr-qc2026
The Spacetime Positive Mass Theorem with Multiple Time Dimensions
Sven Hirsch, Alec Payne, Yiyue Zhang
We generalize the spacetime positive mass theorem to include multiple time dimensions. In particular, we show that the mass remains nonnegative in the sense that the energy is…